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Finding the Fourth Proportional to 12,705.70, 19,058.55 and 5,780.20

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Solution

The fourth proportional to 12,705.70, 19,058.55 and 5,780.20 is: 8,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.70 : 19,058.55 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    12,705.70/19,058.55 = 5,780.20/x
  3. Step 3: Cross multiply
    12,705.70x = 19,058.55 × 5,780.20
  4. Step 4: Simplify right side
    12,705.70x = 110,162,230.71
  5. Step 5: Solve for x
    x = 110,162,230.71/12,705.70
  6. Step 6: Final answer
    x = 8,670.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.